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  • Differentiate e^sin x^2 with respect to x.

Differentiate e^sin x^2 with respect to x.

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Solution: We have , 

                               y=e^sin x^2              differentiate both side w.r.t x ,

                              fracmathrmd ymathrmd x=fracmathrmd e^sinx^2mathrmd x=fracmathrmd e^sinx^2mathrmd sinx^2 imes fracmathrmd sinx^2mathrmd x imesfracmathrmd x^2mathrmd x=e^sin x^2 imes cosx^2 imes2x

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Deependra Verma

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